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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 001, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.001 (Mi sigma127) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Non-Local Finite-Size Effects in the Dimer Model

Nickolay Sh. Izmailianabc, Vyatcheslav B. Priezzhevd, Philippe Ruellee

a Yerevan Physics Institute, Alikhanian Brothers 2, 375036 Yerevan, Armenia
b Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan
c National Center of Theoretical Sciences at Taipei, Physics Division, National Taiwan University, Taipei 10617, Taiwan
d Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
e Institut de Physique Théorique, Université catholique de Louvain, 1348 Louvain-La-Neuve, Belgium
Full-text PDF (351 kB) Citations (27)
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DOI: https://doi.org/10.3842/SIGMA.2007.001
Abstract: We study the finite-size corrections of the dimer model on $\infty\times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of $N$, and show that, because of certain non-local features present in the model, a change of parity of $N$ induces a change of boundary condition. Taking a careful account of this, these unusual finite-size behaviours can be fully explained in the framework of the $c=-2$ logarithmic conformal field theory.
Keywords: dimer model; finite-size corrections; conformal field theory.
Received: September 29, 2006; in final form December 12, 2006; Published online January 4, 2007
Bibliographic databases:
Document Type: Article
MSC: 82B20; 81T40
Language: English
Citation: Nickolay Sh. Izmailian, Vyatcheslav B. Priezzhev, Philippe Ruelle, “Non-Local Finite-Size Effects in the Dimer Model”, SIGMA, 3 (2007), 001, 12 pp.
Citation in format AMSBIB
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\by Nickolay Sh.~Izmailian, Vyatcheslav B.~Priezzhev, Philippe Ruelle
\paper Non-Local Finite-Size Effects in the Dimer Model
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\vol 3
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\totalpages 12
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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